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In this work we propose techniques for efficient reachability analysis of the state space (e.g., detection of bad states) using a combination of partial order and symmetry based reductions in a distributed setting. The proposed techniques…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-01-05 Janardan Misra , Suman Roy

We present a new partial order reduction method for reachability analysis of nondeterministic labeled transition systems over metric spaces. Nondeterminism arises from both the choice of the initial state and the choice of actions, and the…

Logic in Computer Science · Computer Science 2018-05-14 Chuchu Fan , Zhenqi Huang , Sayan Mitra

In this paper we propose an improvement for flowpipe-construction-based reachability analysis techniques for hybrid systems. Such methods apply iterative successor computations to pave the reachable region of the state space by state sets…

Systems and Control · Computer Science 2017-07-18 Stefan Schupp , Johanna Nellen , Erika Ábrahám

The goal of partial-order methods is to accelerate the exploration of concurrent systems by examining only a representative subset of all possible runs. The stateful approach builds a transition system with representative runs, while the…

Logic in Computer Science · Computer Science 2024-11-27 Frédéric Herbreteau , Sarah Larroze-Jardiné , Gérald Point , Igor Walukiewicz

Order-reduction is a standard automated approximation technique for computer-aided design, analysis, and simulation of many classes of systems, from circuits to buildings. For a given system, these methods produce a reduced-order system…

Systems and Control · Computer Science 2016-02-23 Hoang-Dung Tran , Luan Viet Nguyen , Weiming Xiang , Taylor T. Johnson

Partial orders are used extensively for modeling and analyzing concurrent computations. In this paper, we define two properties of partially ordered sets: width-extensibility and interleaving-consistency, and show that a partial order can…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Himanshu Chauhan , Vijay K. Garg

Reachability analysis, in general, is a fundamental method that supports formally-correct synthesis, robust model predictive control, set-based observers, fault detection, invariant computation, and conformance checking, to name but a few.…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Niklas Kochdumper , Bastian Schürmann , Matthias Althoff

Classical CTL temporal logics are built over systems with interleaving model concurrency. Many attempts are made to fight a state space explosion problem (for instance, compositional model checking). There are some methods of reduction of a…

Software Engineering · Computer Science 2017-10-27 Wiktor B. Daszczuk

Partial order reduction (POR) is a classic technique for dealing with the state explosion problem in model checking of concurrent programs. Theoretical optimality, i.e., avoiding enumerating equivalent interleavings, does not necessarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-23 Berk Cirisci , Constantin Enea , Azadeh Farzan , Suha Orhun Mutluergil

We present a novel algorithm for reducing the state dimension, i.e. order, of linear parameter varying (LPV) discrete-time state-space (SS) models with affine dependence on the scheduling variable. The input-output behavior of the reduced…

Systems and Control · Computer Science 2015-08-17 Mert Bastug , Mihaly Petreczky , Roland Toth , Rafael Wisniewski , John Leth , Denis Efimov

A shortcoming of existing reachability approaches for nonlinear systems is the poor scalability with the number of continuous state variables. To mitigate this problem we present a simulation-based approach where we first sample a number of…

Systems and Control · Computer Science 2017-09-21 Murat Arcak , John Maidens

Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous…

Systems and Control · Computer Science 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

Reachability analysis is a popular method to give safety guarantees for stochastic cyber-physical systems (SCPSs) that takes in a symbolic description of the system dynamics and uses set-propagation methods to compute an overapproximation…

Robotics · Computer Science 2024-07-17 Navid Hashemi , Lars Lindemann , Jyotirmoy V. Deshmukh

In the scope of discrete finite-state models of interacting components, we present a novel algorithm for identifying sets of local states of components whose activity is necessary for the reachability of a given local state. If all the…

Systems and Control · Computer Science 2013-07-15 Loïc Paulevé , Geoffroy Andrieux , Heinz Koeppl

We consider networks of finite-state machines having local transitions conditioned by the current state of other automata. In this paper, we depict a reduction procedure tailored for a given reachability property of the form ``from global…

Logic in Computer Science · Computer Science 2016-11-07 Loïc Paulevé

Highly non-linear, chaotic or near chaotic, dynamic models are important in fields such as ecology and epidemiology: for example, pest species and diseases often display highly non-linear dynamics. However, such models are problematic from…

Methodology · Statistics 2015-11-24 Matteo Fasiolo , Natalya Pya , Simon N. Wood

Reachability analysis has been a prominent way to provide safety guarantees for neurally controlled autonomous systems, but its direct application to neural perception components is infeasible due to imperfect or intractable perception…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Yuang Geng , Thomas Waite , Trevor Turnquist , Radoslav Ivanov , Ivan Ruchkin

Neural network quantum states are a promising tool to analyze complex quantum systems given their representative power. It can however be difficult to optimize efficiently and effectively the parameters of this type of ansatz. Here we…

Quantum Physics · Physics 2023-05-10 Wenxuan Zhang , Xiansong Xu , Zheyu Wu , Vinitha Balachandran , Dario Poletti

This paper presents a partial state-feedback reduced-order switching predictive model designed to support the next-generation lithography roadmap. The proposed approach addresses the trade-off between increasing the number of measurements…

Optimization and Control · Mathematics 2025-10-16 Raaja Ganapathy Subramanian , Barry Moest , Bart Paarhuis

The paper investigates the problem of estimating the state of a time-varying system with a linear measurement model; in particular, the paper considers the case where the number of measurements available can be smaller than the number of…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Guido Cavraro , Emiliano Dall'Anese , Joshua Comden , Andrey Bernstein
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